{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## _*BeH2 plots of various orbital reduction results*_\n",
    "\n",
    "We have notebooks showing LiH, where we often remove (discard) two unoccupied orbitals, in addition to freezing the core. While freezing of the core electrons can always be done, discarding unoccupied orbitals should be done with great care.\n",
    "\n",
    "This notebook demonstrates this for Beryllium Dihydride (BeH2) where we show the effect of removing different unoccupied orbitals. We use Qiskit Chemistry to plot graphs of the ground state energy of the Beryllium Dihydride (BeH2) molecule over a range of inter-atomic distances using NumPyMinimumEigensolver. Freeze core reduction is true and different virtual orbital removals are tried as a comparison.\n",
    "\n",
    "This notebook has been written to use the PYSCF chemistry driver."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Processing step 22 --- complete\n",
      "Distances:  [0.6  0.7  0.8  0.9  1.   1.1  1.2  1.3  1.4  1.5  1.6  1.7  1.8  1.9\n",
      " 2.   2.25 2.5  2.75 3.   3.25 3.5  3.75 4.  ]\n",
      "Energies: [[-14.40506494 -14.87097555 -15.17246656 -15.36382343 -15.48142306\n",
      "  -15.54931874 -15.58348421 -15.59471016 -15.59040023 -15.57570561\n",
      "  -15.55427855 -15.52877867 -15.50120585 -15.47311573 -15.44576103\n",
      "  -15.38711226 -15.35149108 -15.33892161 -15.33645938 -15.33627749\n",
      "  -15.3363915  -15.33646725 -15.33649467]\n",
      " [-14.38537971 -14.8529641  -15.15532997 -15.34648965 -15.46287098\n",
      "  -15.52863269 -15.5598192  -15.56723345 -15.55823699 -15.53789746\n",
      "  -15.50975433 -15.476334   -15.43948849 -15.40061366 -15.38534487\n",
      "  -15.30406975 -15.24876708 -15.23982192 -15.25303723 -15.27323362\n",
      "  -15.29048022 -15.29973676 -15.30358774]\n",
      " [-14.38085785 -14.8496625  -15.152928   -15.34484824 -15.46196656\n",
      "  -15.52847583 -15.56042602 -15.5686254  -15.5604457  -15.54096661\n",
      "  -15.51373779 -15.48129162 -15.44548034 -15.4076929  -15.43902234\n",
      "  -15.3765858  -15.33291996 -15.31217227 -15.30666589 -15.30583829\n",
      "  -15.30584735 -15.3059168  -15.30595   ]\n",
      " [-14.38996835 -14.8596731  -15.16341905 -15.35613956 -15.47463297\n",
      "  -15.54315397 -15.57776757 -15.5893081  -15.58520037 -15.57060331\n",
      "  -15.54916622 -15.52353471 -15.49568133 -15.46711643 -15.36899435\n",
      "  -15.27329325 -15.18543733 -15.10983622 -15.04887848 -15.00693603\n",
      "  -14.98538738 -14.97555545 -14.97045281]\n",
      " [-14.39432437 -14.86110116 -15.16286759 -15.3537537  -15.47017403\n",
      "  -15.53627247 -15.56808784 -15.57642757 -15.5686708  -15.54991949\n",
      "  -15.52376812 -15.49282421 -15.45905583 -15.42402529 -15.38905694\n",
      "  -15.31000383 -15.2593924  -15.25594154 -15.26939038 -15.28973515\n",
      "  -15.30706596 -15.31636055 -15.32022639]\n",
      " [-14.38815095 -14.85518765 -15.15741167 -15.34871007 -15.46542593\n",
      "  -15.53165667 -15.56340888 -15.57146946 -15.5631985  -15.54366894\n",
      "  -15.51642669 -15.48400243 -15.44824819 -15.41055403 -15.44242866\n",
      "  -15.38184785 -15.34232036 -15.32636956 -15.32282134 -15.32241852\n",
      "  -15.32249786 -15.32257244 -15.32260238]\n",
      " [-14.39782704 -14.8655071  -15.16806701 -15.36007661 -15.47810675\n",
      "  -15.54630491 -15.58068771 -15.59206637 -15.58785438 -15.57320634\n",
      "  -15.55177264 -15.52620548 -15.49849044 -15.47015952 -15.44242866\n",
      "  -15.38184785 -15.34232036 -15.32636956 -15.32282134 -15.32241852\n",
      "  -15.32249786 -15.32257244 -15.32260238]\n",
      " [-14.39782704 -14.8655071  -15.16806701 -15.36007661 -15.47810675\n",
      "  -15.54630491 -15.58068771 -15.59206637 -15.58785438 -15.57320634\n",
      "  -15.55177264 -15.52620548 -15.49849044 -15.47015952 -15.37198719\n",
      "  -15.27680792 -15.18982171 -15.11557267 -15.0565821  -15.01697352\n",
      "  -14.99729008 -14.98854807 -14.98398255]]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import pylab\n",
    "from qiskit.aqua.algorithms import NumPyMinimumEigensolver\n",
    "from qiskit.chemistry.drivers import PySCFDriver\n",
    "from qiskit.chemistry.core import Hamiltonian, QubitMappingType\n",
    "\n",
    "molecule = 'H .0 .0 -{0}; Be .0 .0 .0; H .0 .0 {0}'\n",
    "reductions = [[], [-2, -1], [-3, -2], [-4, -3], [-1], [-2], [-3], [-4]]\n",
    "\n",
    "pts  = [x * 0.1  for x in range(6, 20)]\n",
    "pts += [x * 0.25 for x in range(8, 16)]\n",
    "pts += [4.0]\n",
    "energies = np.empty([len(reductions), len(pts)])\n",
    "distances = np.empty(len(pts))\n",
    "\n",
    "print('Processing step __', end='')\n",
    "for i, d in enumerate(pts):\n",
    "    print('\\b\\b{:2d}'.format(i), end='', flush=True)\n",
    "    for j in range(len(reductions)):\n",
    "        driver = PySCFDriver(molecule.format(d), basis='sto3g')\n",
    "        qmolecule = driver.run()\n",
    "        operator =  Hamiltonian(qubit_mapping=QubitMappingType.PARITY,\n",
    "                                two_qubit_reduction=True, freeze_core=True,\n",
    "                                orbital_reduction=reductions[j])\n",
    "        qubit_op, aux_ops = operator.run(qmolecule)\n",
    "        result = NumPyMinimumEigensolver(qubit_op).run()\n",
    "        result = operator.process_algorithm_result(result)\n",
    "        energies[j][i] = result.energy\n",
    "    distances[i] = d\n",
    "\n",
    "print(' --- complete')\n",
    "\n",
    "print('Distances: ', distances)\n",
    "print('Energies:', energies)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First we plot the ground state energy against interatomic distance for the set of reductions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pylab.rcParams['figure.figsize'] = (12, 8)\n",
    "for j in range(len(reductions)):\n",
    "    pylab.plot(distances, energies[j], label=reductions[j])\n",
    "pylab.xlabel('Interatomic distance')\n",
    "pylab.ylabel('Energy')\n",
    "pylab.title('BeH2 Ground State Energy')\n",
    "pylab.legend(loc='upper right');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now the difference in energy, compared to no reduction, is plotted so it is easier to see the effect. First in one larger plot so its easier to compare, and then in individual plots."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pylab.rcParams['figure.figsize'] = (12, 8)\n",
    "for j in range(len(reductions)):\n",
    "    pylab.plot(distances, np.subtract(energies[j], energies[0]), label=reductions[j])\n",
    "pylab.xlabel('Interatomic distance')\n",
    "pylab.ylabel('Energy')\n",
    "pylab.title('Energy difference compared to no reduction []')\n",
    "pylab.legend(loc='upper left');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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/nv79+6/1GP/5z39qEZqZmdsgaqmpqYnnn3++wwvlOrLHHnvwve99b4Oe++STT+bGG2+kX79+G3QcM9t09fgSRETUbXC6ESNGMH/+/Lo892WXXdbhup5yDxAzq60eXYLo168fCxcu9BdiQfv9IFyyMLO16dEliOHDh9Pa2srTTz9d71AaSvsd5czMOlPTBCFpInAu6Z7UF0TEtyrWfww4A1gJLAEmRcQsSaOB+4D2sTGmRsTH1vX5e/fu7bummZmtp5olCElNwHnAEUArcIekKRExq7DZ5RHx07z9McD3gIl53UMRsW6tu2Zm1mVq2QZxADAnIuZGxHLgCuDY4gYR8UJhdgDgxgIzswZRywQxDCh24WnNy1Yj6QxJDwH/A3yisGqMpLsk3Sjp9TWM08zMStS9F1NEnBcRY4HPAufkxY8DIyNiH+BTwOWStqjcV9IkSS2SWtwQbWbWtWqZIBYAIwrzw/OyjlwBHAcQEcsiYmGengY8BOxcuUNEnB8RzRHRPHTo0C4L3MzMapsg7gDGSRojqQ9wIrDaEKSSxhVm3wo8mJcPzY3cSNoRGAfMrWGsZmZWoWa9mCKiTdKZwLWkbq4XRcRMSZOBloiYApwp6XBgBfAscEre/VBgsqQVwCrgYxGxqFaxmpnZmtRTrjJubm6OlpaWeodhZtatSJoWEc1l6+reSG1mZo3JCcLMzEo5QZiZWSknCDMzK+UEYWZmpZwgzMyslBOEmZmVcoIwM7NSThBmZlbKCcLMzEo5QZiZWSknCDMzK+UEYWZmpZwgzMyslBOEmZmVcoIwM7NSThBmZlbKCcLMzEo5QZiZWamaJghJEyXNljRH0udK1n9M0j2Spku6SdL4wrrP5/1mSzqqlnGamdmaapYgJDUB5wFHA+OBk4oJILs8IvaMiAnA/wDfy/uOB04EdgcmAj/JxzMzs42kliWIA4A5ETE3IpYDVwDHFjeIiBcKswOAyNPHAldExLKIeBiYk49nZmYbSa8aHnsYML8w3wocWLmRpDOATwF9gDcX9p1ase+wkn0nAZMARo4c2SVBm5lZUvdG6og4LyLGAp8FzlnHfc+PiOaIaB46dGhtAjQz20TVMkEsAEYU5ofnZR25AjhuPfc1M7MuVssEcQcwTtIYSX1Ijc5TihtIGleYfSvwYJ6eApwoqa+kMcA44PYaxmpmZhVq1gYREW2SzgSuBZqAiyJipqTJQEtETAHOlHQ4sAJ4Fjgl7ztT0pXALKANOCMiVtYqVjMzW5MiYu1bdQPNzc3R0tJS7zDMzLoVSdMiorlsXd0bqc3MrDE5QZiZWSknCDMzK+UEYWZmpZwgzMyslBOEmZmVcoIwM7NSThBmZlbKCcLMzEo5QZiZWSknCDMzK+UEYWZmpZwgzMyslBOEmZmVcoIwM7NSThBmZlbKCcLMzEo5QZiZWamaJghJEyXNljRH0udK1n9K0ixJMyT9U9KowrqVkqbnx5RaxmlmZmvqVasDS2oCzgOOAFqBOyRNiYhZhc3uApoj4iVJHwf+B3hPXvdyREyoVXxmZta5WpYgDgDmRMTciFgOXAEcW9wgIq6PiJfy7FRgeA3jMTOzdVDLBDEMmF+Yb83LOvJh4K+F+X6SWiRNlXRc2Q6SJuVtWp5++ukNj9jMzF5RsyqmdSHpfUAz8IbC4lERsUDSjsC/JN0TEQ8V94uI84HzAZqbm2OjBWxmtgmoZQliATCiMD88L1uNpMOBLwDHRMSy9uURsSD/nQvcAOxTw1jNzKxCLRPEHcA4SWMk9QFOBFbrjSRpH+BnpOTwVGH51pL65ultgEOAYuO2mZnVWM2qmCKiTdKZwLVAE3BRRMyUNBloiYgpwHeAgcBVkgAejYhjgN2An0laRUpi36ro/WRmZjWmiJ5Rdd/c3BwtLS31DsPMrFuRNC0imsvW+UpqMzMr5QRhZmalnCDMzKyUE4SZmZVygjAzs1JOEGZmVqqqBCHpd5LeKskJxcxsE1HtF/5PgPcCD0r6lqRdahiTmZk1gKoSRET8IyJOBvYF5gH/kHSLpA9K6l3LAM3MrD6qrjKSNAQ4FTiNdKOfc0kJ47qaRGZmZnVV1VhMkq4BdgEuBd4eEY/nVb+R5PEtzMx6oGoH6/thRFxftqKjMTzMzKx7qzZBbC3pnRXLngfuKQ7TbWZmPUe1CeLDwGuB9lLEG4FpwBhJkyPi0hrEZmZmdVRtgugN7BYRTwJI2g64BDgQ+DepbcLMzHqQansxDW9PDtlTwIiIWASs6PqwzMys3qotQdwg6U/AVXn++LxsAPBcTSIzM7O6qjZBnAG8E3hdnr8E+G2k29G9qRaBmZlZfa21iklSE/CviPhtRPx/+XF1VHGvUkkTJc2WNEfS50rWf0rSLEkzJP1T0qjCulMkPZgfp6zzKzMzsw2y1gQRESuBVZK2XJcD58RyHnA0MB44SdL4is3uApojYi/gauB/8r6DgS+TGsEPAL4saet1eX4zM9sw1VYxLQHukXQd8GL7woj4RCf7HADMiYi5AJKuAI4FZhX2L158NxV4X54+CrguN4KTn3ci8Osq4zUzsw1UbYL4XX6si2HA/MJ8K6lE0JEPA3/tZN9hlTtImgRMAhg5cuQ6hmdmZp2pKkFExC8l9QdGRsTsrg5C0vuAZuAN67JfRJwPnA/Q3Ny81jYRMzOrXrU3DHo7MB34W56fIGnKWnZbAIwozA/PyyqPfTjwBeCYiFi2LvuamVntVHuh3FdIbQrPAUTEdGDHtexzBzBO0hhJfYATgdWSiqR9gJ+RkkNxTKdrgSMlbZ0bp4/My8zMbCOptg1iRUQ8L6m4bFVnO0REm6QzSV/sTcBFETFT0mSgJSKmAN8BBgJX5WM/GhHHRMQiSV8jJRmAye0N1mZmtnFUmyBmSnov0CRpHPAJ4Ja17RQRfwH+UrHsS4XpwzvZ9yLgoirjMzOzLlZtFdN/AbsDy0hdTV8APlmroMzMrP6q7cX0Eqkh+Qu1DcfMzBpFtbcc3Rn4NDC6uE9EvLk2YZmZWb1V2wZxFfBT4AJgZe3CMTOzRlFtgmiLiP+taSRmZtZQqm2k/qOk0yW9RtLg9kdNIzMzs7qqtgTRPtz22YVlwdovljMzs26q2l5MY2odiJmZNZZOq5gkfaYw/a6Kdf9dq6DMzKz+1tYGcWJh+vMV6yZ2cSxmZtZA1pYg1MF02byZmfUga0sQ0cF02byZmfUga2uk3lvSC6TSQv88TZ7vV9PIzMysrjpNEBHRtLECMTOzxlLthXJmZraJcYIwM7NSThBmZlbKCcLMzErVNEFImihptqQ5kj5Xsv5QSXdKapN0QsW6lZKm58eUWsZpZmZrqnawvnUmqQk4DzgCaAXukDQlImYVNnsUOJV0M6JKL0fEhFrFZ2ZmnatZggAOAOZExFwASVcAxwKvJIiImJfXraphHGZmth5qWcU0DJhfmG/Ny6rVT1KLpKmSjivbQNKkvE3L008/vSGxmplZhUZupB4VEc3Ae4EfSBpbuUFEnB8RzRHRPHTo0I0foZlZD1bLBLEAGFGYH56XVSUiFuS/c4EbgH26MjgzM+tcLRPEHcA4SWMk9SENHV5VbyRJW0vqm6e3AQ6h0HZhZma1V7MEERFtwJnAtcB9wJURMVPSZEnHAEjaX1Ir8C7gZ5Jm5t13A1ok3Q1cD3yroveTmZnVmCJ6xqjdzc3N0dLSUu8wzMy6FUnTcnvvGhq5kdrMzOrICcLMzEo5QZiZWSknCDMzK+UEYWZmpZwgzMyslBOEmZmVcoIwM7NSThBmZlbKCcLMzEo5QZiZWSknCDMzK+UEYWZmpZwgzMyslBOEmZmVcoIwM7NSThBmZlbKCcLMzErVNEFImihptqQ5kj5Xsv5QSXdKapN0QsW6UyQ9mB+n1DJOMzNbU69aHVhSE3AecATQCtwhaUpEzCps9ihwKvDpin0HA18GmoEApuV9n61VvGYNKwJap8LM38DK5dB/cOePpj71jth6iJolCOAAYE5EzAWQdAVwLPBKgoiIeXndqop9jwKui4hFef11wETg1zWM16yxxCqYdwPc9Qt45j4YsC0M2A5euAdeXgRtL5fv12fgq8mi39aw+ZCOk0nvASBt1Jdl3UctE8QwYH5hvhU4cAP2HVa5kaRJwCSAkSNHrl+UZo1mVRvM+RtM/yU89zBsMQIOPQfGvRWaer+63YqXU6JY+iy8tDBNVz6efwQevxOWPV/+XE19UhLZekw6/pg3Qa9+G+d1WsOrZYKouYg4HzgfoLm5OeocjtmGaVsGD/wR7r4EFj8Gg8fBYf8NYw6DzZrW3L53f+g9DLZY47fTmla1wdLnUiJpTyjFxPLEdLj+i3DTANjpKNjlGBi6u0sXm7haJogFwIjC/PC8rNp931ix7w1dEpVZo1nxEsz6Lcz4Fby8ELbdEw4+G0a+ruu+oDfrBZtvkx5lYlUqacyeAg/8Ge77HWy9I+z8dhj3llRNZZscRdTmh7ekXsADwGGkL/w7gPdGxMySbS8G/hQRV+f5wcA0YN+8yZ3Afu1tEmWam5ujpaWlS1+DWU0tfT41PN97BSx7AYYdAPt8CF6zX31/uS9fAg9dl5LFU/eAmmDkIalUMfJ1KdlYjyFpWkQ0l62r2TsdEW2SzgSuBZqAiyJipqTJQEtETJG0P3ANsDXwdklfjYjdI2KRpK+RkgrA5M6Sg1m38tIzMOMyuO+3qfQw6g2wzwdh2z3qHVnSZyDs9o70ePbhlCge/As88u/UsD3uLalkMXhsvSO1GqtZCWJjcwnCGt7ix+DuS2H2H1KbwNgjYcKpMHineke2dqvaYP4tMPuPKVHEytRGscvbYexR0HdQvSO09dRZCcIJwqzWnpuXuqrO+VuqOtr57TDhFNhieL0jWz8vL4IH/5pKFs8+BE19U++nXY6BHZpBHqChO6lLFZPZJu+Z++Gui+Dh66FXX9jjPbDnyTBwu3pHtmH6D4a9ToY935uuz5g9BeZcmxLgwNfAzm9LJYtBO9Q7UttALkGYdbUnpqfEMP+WVJ+/+3tgjxOh/9b1jqx22pami/pm/xEW3A5EKk3scgzseMTq129YQ3EVk9nGsPBBuO2H0Hpruvhsr5Nh/AkpSWxKljwBD/wpJYvFC2Dg9jDhg6lU4WFAGo4ThFktLXkSWn6avhT7DkpdVcef4CuSY1UqRd15ATx1bxomZMKpsOuxThQNxG0QZrWwfEkaDuOey4GAvd6Xuqv23aLekTUGbZaumxhxCCy4DaadDzd/G6b/AvY+BXY9LrXNWMNygjBbVytXpCuN7/x5Gr5ip6Nh/9Nh0GvqHVljkmD4QTDsQHjsDpj2c7jlO68mit3e4dJWg3KCMKtWBDz8L7j9x/DCfNhhfzjoLNhm13pH1j1I6WrxHfaHx6elEsWt34XpF8PeH4DxxztRNBgnCOt5npuXLuzqygvQnrgbbjsXnpyRxiia+INUdeLB7NadlHo47dAMj01LbRRTvw93/xL2en9qv+ndv95RGk4Q1pOsXJG6l951UZrf/+Ppl+mGXLj1/KNw249g3vVpoLtDz0n9/D0eUdfYYb/0eGJ6qnq67dycKN4Hu78bem9e7wg3ae7FZD3DUzPhxsnpyt6djk4liLnXpSqNN03ueBTTjrz8bGpjmPXb1JC69wfSRW7+ZVtbT85IiaL1Vui75auJos+AekfWY7mbq/VcbUuh5Wdwz2UpCbzu8zDq9am9YPYf4ObvpC+XN34VRry2uuPdc3nqndS2NDWg7vsRD3e9sT11b0oU829OiWLPk9LFhpvaNSUbgROE9UxPTE+lhucfhV3fkRqMK79Anp0L//h8Klns/YHU26isemjVSnjwz+l6hhefgtFvhAPOhK1Gb4xXYh15amZqo3j0P9BnUBreY48TPThgF3KCsJ5lxUupJ9HMq1LX0kPPSVVJHWlbCrd+Pw2vve0e8OZvvHoXtohUnXHbD2HRnLT+wLPgNftsnNdi1Xnm/lSieOTG9CNgj1yi6LdlvSPr9pwgrOd49OZ0sdXix9Pgd/ufXn1D5tx/wr+/lpLCoefAliNTo+iC22HQsFRi2PFw90xqZM/MTiWKedenUWR3OgrGvwuG7lbvyLotJwjr/hbNgannpojGnJ0AABA1SURBVF/7W46CN3wRtp+w7sdZ/Bj88wvpTmmQ6rf3PS11rfSAct3Hojkw88o07Hjby6nkN/6ENDCgr85eJ04Q1n29vCi1C9z/e+g9IH2Z7/7uDfsyX9WWLs5auTz1u3d9dve1fEkaA2vW1en6l75bprGedjv+1WpE65QThHU/bcvg3l+nG+20LYXd35WSQ7+t6h2ZNaIIeKwllSoe+XcaKHDkIan6acRrfROjTtRtsD5JE4FzSfekviAivlWxvi9wCbAfsBB4T0TMkzQauA+YnTedGhEfq2Ws1iAi0vULt/0IljwOow6FAz/h3kTWOQmG7Z8eS56E+6+B+66Bv52V2pfGn5CGG/cPjHVSsxKEpCbgAeAIoBW4AzgpImYVtjkd2CsiPibpROAdEfGenCD+FBFV38XdJYge4PG74PYfpYulhuwMB32y895JZp1ZuSI1Zs+6Gh6/MzVqjz0yJYttd693dA2jXiWIA4A5ETE3B3EFcCwwq7DNscBX8vTVwI8ldyHZpERA69Q0PMYTd0H/IXDoF/NwFk31js66s6beKSGMPTI1as+6Gh74MzzwRxg6PlU/jT3CAwR2opYJYhgwvzDfChzY0TYR0SbpeaD9ktUxku4CXgDOiYj/1DBW29hiFcy7MQ35/PSsdDOZgz+d7xHgf1jrYoN3gtd9LnVlfuDPKVnc+FWY+oN0W9Txx8MWw+sdZcNp1BHHHgdGRsRCSfsBv5e0e0S8UNxI0iRgEsDIkSPrEKats1VtMPcfqcTw7Nz0T3noOTDure5marXXZ2C6fmb3d6chx2delYZWmfErGHFw6gwx/LUuvWa1TBALgBGF+eF5Wdk2rZJ6AVsCCyM1jCwDiIhpkh4CdgZWa2SIiPOB8yG1QdTiRVgXWbkcHvxL6l76QmsaMvvNX08XpnlkVNvYikOOv/hUatC+/xr42ydh86HpGpvt9oLt9oQhu2yyP15q+Z95BzBO0hhSIjgReG/FNlOAU4BbgROAf0VESBoKLIqIlZJ2BMYBc2sYq9XKCwvSP979f4Clz8I2u8ER34HRb3DXQ2sMA7aF5o/Cvh+Gh69PN4V6ckbqTQepcXvobrDtnq8mjXUdHbibqlmCyG0KZwLXkrq5XhQRMyVNBloiYgpwIXCppDnAIlISATgUmCxpBbAK+FhELKpVrNbFVq2ER29KYx/NvzX9Wht1aOo9MuxAD2VhjWmzXqnReuwRaX7Jk+mK+ydnwJP3wL1XwIxL07pBO+SEkZPGkJ17ZEnYF8pZ13npmXTF833XwItPpqL6rselx8Dt6h2d2YZZuTwNGtieMJ6cAS89ndY19U09o9oTxrZ7dpsh4ut2oZxtAlaugAW3wewpqVdSrEw3qD/40+m+DD3wV5Vtopr65CqmvdJ8RPohVEwY91wOd1+S1g8a9mqV1HZ7pZ5U3ez/oXtFa41hVVu6l/BDf08XIi17Id/U5b2w2zthyxFrP4ZZdyfBwO3TY+yRaVnb0lzKyAljwe0w569pXVPftO3mQ9L1Ph397b91wySSxojCGl+sgifuTknh4X+mQfR6D0iNzWOPTG0Lm2hPD7NX9OqXekC1jzQckYaMeXJGut7nxafgpYWwcDbMXwgrXiw5iNKQIP0HF5LHNnl68KvJZPNtoO8WNe3s4QRhHVvVlj7Y825MPTpefCr9Chp1aGrIG3GwL2oz64yUGrQH7QA7TVxzfdvSlDBeXtjB30Xwwt1peuWykuM3paSx/QQ4/JtdHr4ThK1uyZPpnguP3pyKxytehM16p2Rw4CdScqj2Bj1m1rle/dKw5Gsbmjwi/S92lEz616ZB3AliU7dyBTx5N8y/JT0WzUnLB2yXqo5GHJxGyPTN4s3qR0r/g30GwlajNtrTOkFsala8DE/PhCempzaFJ2fkUkKvVEw98BMpKWw91tcrmG3inCB6uhefTiWEJ+5Of5+ZnbqiojTcxU4T0w1Vdtgf+gyod7Rm1kCcIHqKiHS/5UUPwsIH099nZsPiPPxVU980Bv7eH4Dt9079svtuUd+YzayhOUF0NxFpTKPn56cksGhOTghzVu8yt8UI2GaXNDrl9hM26QHHzGz9OEG0LYPrv5iGhRgwNPc3bp8emhqFNmZdfASseCn1nX6hNZUKFj+WBr1bvAAWPw5tL7+6fe8BMGQcjHtL+jt4HAwe655GZrbBnCCWL4FnH05dOpcvWXN9U99XE0efQamevveA9AXcPl1cRqSLylatTH+j/W9etqoNli+Gpc/D0udg2fNpuvh35fLVY+i9eepHvcXwdEHaFsPSZfyDd0pXZrox2cxqwAli8yHw7qvS9IqX04BzLz2dGndfejrNv9j+9yl47kVY/mL6lV924Uq11AT9tkxDVPTbMn3hDx2f57d69eKaLYalZU4CZraROUEU9e6fxhGqdiyhVW05WeSEsfzF9EWuzVIC0GbpzlTa7NVlmzWlxuHeA/ylb2YNzQliQ2zWK/3677dlvSMxM+tyvqWXmZmVcoIwM7NSThBmZlbKCcLMzErVNEFImihptqQ5kj5Xsr6vpN/k9bdJGl1Y9/m8fLako2oZp5mZralmCUJSE3AecDQwHjhJ0viKzT4MPBsROwHfB76d9x0PnAjsDkwEfpKPZ2ZmG0ktSxAHAHMiYm5ELAeuAI6t2OZY4Jd5+mrgMEnKy6+IiGUR8TAwJx/PzMw2klpeBzEMmF+YbwUO7GibiGiT9DwwJC+fWrHvGrdckjQJmJRnl0ia3UEs2wDPrOsLqKPuFi845o3FMdded4sXNizmDu9A1K0vlIuI84Hz17adpJaIaN4IIXWJ7hYvOOaNxTHXXneLF2oXcy2rmBYAxTErhudlpdtI6gVsCSyscl8zM6uhWiaIO4BxksZI6kNqdJ5Ssc0U4JQ8fQLwr4iIvPzE3MtpDDAOuL2GsZqZWYWaVTHlNoUzgWuBJuCiiJgpaTLQEhFTgAuBSyXNARaRkgh5uyuBWUAbcEZErNyAcNZaDdVgulu84Jg3Fsdce90tXqhRzEo/2M3MzFbnK6nNzKyUE4SZmZXqMQmiimE9TpX0tKTp+XFaPeKsiOkiSU9JureD9ZL0w/yaZkjad2PHWBHP2uJ9o6TnC+f4Sxs7xpKYRki6XtIsSTMlnVWyTaOd52pibphzLamfpNsl3Z3j/WrJNh0Oq1MPVcbccN8ZkEapkHSXpD+VrOva8xwR3f5BagR/CNgR6APcDYyv2OZU4Mf1jrUipkOBfYF7O1j/FuCvgICDgNsaPN43An+q93mtiOk1wL55ehDwQMlno9HOczUxN8y5zudtYJ7uDdwGHFSxzenAT/P0icBvukHMDfedkeP6FHB52fvf1ee5p5QgqhnWo+FExL9Jvbc6cixwSSRTga0kvWbjRLemKuJtOBHxeETcmacXA/ex5lX5jXaeq4m5YeTztiTP9s6Pyt4vHQ2rUxdVxtxwJA0H3gpc0MEmXXqee0qCKBvWo+wf6vhchXC1pCpvPF1X1b6uRvLaXGz/q6Td6x1MUS5u70P6tVjUsOe5k5ihgc51rvaYDjwFXBcRHZ7jiGgD2ofVqZsqYobG+874AfAZYFUH67v0PPeUBFGNPwKjI2Iv4DpezbLWde4ERkXE3sCPgN/XOZ5XSBoI/Bb4ZES8UO94qrGWmBvqXEfEyoiYQBr14ABJe9QznmpUEXNDfWdIehvwVERM21jP2VMSxFqH5oiIhRGxLM9eAOy3kWLbEN1qyJGIeKG92B4RfwF6S9qmzmEhqTfpi/ayiPhdySYNd57XFnOjnuuIeA64njRMf1FHw+rUXUcxN+B3xiHAMZLmkarR3yzpVxXbdOl57ikJYq3DelTUKR9DqtdtdFOAD+ReNgcBz0fE4/UOqiOStm+v75R0AOnzVdcvgRzPhcB9EfG9DjZrqPNcTcyNdK4lDZW0VZ7uDxwB3F+xWUfD6tRFNTE32ndGRHw+IoZHxGjSd9y/IuJ9FZt16Xnu1qO5tovqhvX4hKRjSEN3LCL1UKgrSb8m9UbZRlIr8GVSYxkR8VPgL6QeNnOAl4AP1ifSpIp4TwA+LqkNeBk4sZ5fAtkhwPuBe3J9M8D/BUZCY55nqou5kc71a4BfKt3UazPgyoj4k6oYVqeOqom54b4zytTyPHuoDTMzK9VTqpjMzKyLOUGYmVkpJwgzMyvlBGFmZqWcIMzMrJQThDUsSUuq2OaTkjbvwuc8TtL4LjzeLRuw75L8dwdJV3ey3VaSTl/f5zHriBOEdXefBNYpQeS+7x05DuiyBBERB3fBMR6LiBM62WQr0iieZl3KCcIantK9D27IA6bdL+myfNXzJ4AdgOslXZ+3PVLSrZLulHRVHs8ISfMkfVvSncC7JH1E0h15sLvfStpc0sGkK2a/ozT+/1hJEyRNzQO2XSNp63y8GyR9X1KLpPsk7S/pd5IelPT1QuxLCtOflXRPfs5vlbzOMTn2eyqOMVr5HhySdle6j8H0HNM44FvA2LzsO5IGSvpnPgf3SDq2cJz7JP1c6R4If89XESNpJ0n/yLHdKWlsXn52Pk8zVHLPBOvhNmSscD/8qOUDWJL/vpE0KuVw0o+aW4HX5XXzgG3y9DbAv4EBef6zwJcK232mcOwhhemvA/+Vpy8GTiismwG8IU9PBn6Qp28Avp2nzwIeI12d25c0GuyQitdwNHALsHmeH1zyeqcAH8jTZxT2HU2+BwdpYL6T83QfoH9xfV7eC9iicE7mkO5/MJp0VfCEvO5K4H15+jbgHXm6H6lUdiRwft53M+BPwKH1/lz4sfEePWKoDdsk3B4RrQB5+InRwE0V2xxEqh66OQ9T1IeUTNr9pjC9R/6VvhUwkDRMy2okbQlsFRE35kW/BK4qbNI+3tc9wMzI4zdJmksaMK04NtLhwC8i4iWAiCi7r8YhwPF5+lLg2yXb3Ap8Qem+AL+LiAe15nD/Av5b0qGkYaGHAdvldQ9HRPvwHdOA0ZIGAcMi4poc29L8Oo4kJYm78vYDgXGkJGybACcI6y6WFaZXUv7ZFWlc/5M6OMaLhemLgeMi4m5Jp5JKKesb06qK+FZ1EF81Oh37JiIul3Qb6aYxf5H0UWBuxWYnA0OB/SJihdLon/0qYoZ0Hvt38nQCvhkRP1uH+K0HcRuEdXeLSbflBJgKHCJpJwBJAyTt3MF+g4DHlYbVPrnseBHxPPCspNfnde8HbmT9XAd8sL3HlaTBJdvczKuDq51csh5JOwJzI+KHwB+AvVj9HEAa4vmpnBzeBIzqLLBId61rlXRcfo6+Oc5rgQ8V2nGGSdq2qldrPYIThHV35wN/k3R9RDxNGnHz15JmkKpjdu1gvy+S6t1vZvVhnq8Azla6KfxY0tDJ38nHm0Bqh1hnEfE3UpVUS64i+3TJZmcBZ0i6h47vaPdu4N58jD1It0pdSKpWu1fSd4DLgOZ8nA+w5tDbZd5PGr10BqmtZPuI+Dvp3se35mNdzeqJyHo4j+ZqZmalXIIwM7NSThBmZlbKCcLMzEo5QZiZWSknCDMzK+UEYWZmpZwgzMys1P8DUO7cCJZkpRUAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pylab.rcParams['figure.figsize'] = (6, 4)\n",
    "for j in range(1, len(reductions)):\n",
    "    pylab.plot(distances, np.subtract(energies[j], energies[0]), color=[1.0, 0.6, 0.2],\n",
    "               label=reductions[j])\n",
    "    pylab.ylim(0, 0.4)\n",
    "    pylab.xlabel('Interatomic distance')\n",
    "    pylab.ylabel('Energy')\n",
    "    pylab.title('Energy difference compared to no reduction []')\n",
    "    pylab.legend(loc='upper left')\n",
    "    pylab.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Frozen core\n",
    "\n",
    "At the start it was stated that freeze core could always be done. Here we do the computation without freezing the core, with no virtual orbitals removed, so we can compare to the same above where frozen core was used."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "22[-14.40564902 -14.87132975 -15.17280541 -15.36415094 -15.48174107\n",
      " -15.54963817 -15.58381205 -15.59504708 -15.59074335 -15.57605125\n",
      " -15.55462369 -15.52912134 -15.50154509 -15.47345142 -15.44609374\n",
      " -15.38744402 -15.35183431 -15.33927179 -15.33680424 -15.33661362\n",
      " -15.33672146 -15.33679474 -15.33682151]\n"
     ]
    }
   ],
   "source": [
    "e_nofreeze = np.empty(len(pts))\n",
    "for i, d in enumerate(pts):\n",
    "    print('\\b\\b{:2d}'.format(i), end='', flush=True)\n",
    "    driver = PySCFDriver(molecule.format(d), basis='sto3g')\n",
    "    qmolecule = driver.run()\n",
    "    operator =  Hamiltonian(qubit_mapping=QubitMappingType.PARITY,\n",
    "                            two_qubit_reduction=True, freeze_core=False,\n",
    "                            orbital_reduction=[])\n",
    "    qubit_op, aux_ops = operator.run(qmolecule)\n",
    "    result = NumPyMinimumEigensolver(qubit_op).run()\n",
    "    result = operator.process_algorithm_result(result)\n",
    "    e_nofreeze[i] = result.energy\n",
    "\n",
    "print(e_nofreeze)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We plot the energy with and without frozen core; the one line covers the other as they are almost identical. Plotting the energy difference we can see how small the delta is between freezing the core or not."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pylab.rcParams['figure.figsize'] = (8, 6)\n",
    "pylab.plot(distances, energies[0], label='Freeze Core: True')\n",
    "pylab.plot(distances, e_nofreeze, label='Freeze Core: False')\n",
    "pylab.xlabel('Interatomic distance')\n",
    "pylab.ylabel('Energy')\n",
    "pylab.title('Energy difference, no reduction [], freeze core true/false')\n",
    "pylab.legend(loc='upper right')\n",
    "pylab.show()\n",
    "pylab.title('Energy difference of freeze core True from False')\n",
    "pylab.plot(distances, np.subtract(energies[0], e_nofreeze), label='Freeze Core: False')\n",
    "pylab.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
